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Fraction Product

Problem

Work out the exact value of 1/2 times 2/3 times 3/4 times 4/5 times ... times 9/10


Solution

By cancelling adjacent numerators and denominators,
1/2 times 2/3 times 3/4 times 4/ times ... times  /8 times 8/9 times 9/10 = 1/10

What about 1/1 times 2/4 times 3/9 times ... times 9/81 times 10/100?

Problem ID: 90 (Dec 2002)     Difficulty: 1 Star

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